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THE ROLE OF NUMBER THEORY IN MODERN CRYPTOGRAPHY.
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- InSight: Rivier Academic Journal, 2012, v. 8, n. 2, p. 1
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ON THE DIOPHANTINE EQUATION ax<sup>y</sup> + by<sup>z</sup> + cz<sup>x</sup> = 0.
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- International Journal of Number Theory, 2012, v. 8, n. 3, p. 813, doi. 10.1142/S1793042112500467
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On a variant of Giuga numbers.
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- Acta Mathematica Sinica, 2012, v. 28, n. 4, p. 653, doi. 10.1007/s10114-011-1148-7
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CONJUGACY CLASS SIZES OF CERTAIN DIRECT PRODUCTS.
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- Bulletin of the Australian Mathematical Society, 2012, v. 85, n. 2, p. 217, doi. 10.1017/S0004972711002735
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On soft fuzzy C structure compactication.
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- Scientia Magna, 2012, v. 8, n. 1, p. 47
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On the slim exceptional set for the Lagrange four squares theorem.
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- Acta Mathematica Hungarica, 2012, v. 134, n. 1/2, p. 115, doi. 10.1007/s10474-011-0161-8
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Almost prime values of the order of elliptic curves over finite fields.
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- Forum Mathematicum, 2012, v. 24, n. 1, p. 99, doi. 10.1515/form.2011.051
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Factorization of homotopies of nanophrases.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2012, v. 152, n. 1, p. 55, doi. 10.1017/S0305004111000612
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BOUNDS FOR ODD k-PERFECT NUMBERS.
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- Bulletin of the Australian Mathematical Society, 2011, v. 84, n. 3, p. 475, doi. 10.1017/S0004972711002462
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Prime factors of dynamical sequences.
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- Journal für die Reine und Angewandte Mathematik, 2011, v. 2011, n. 661, p. 189, doi. 10.1515/CRELLE.2011.081
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DOUBLE COVERINGS AND UNIT SQUARE PROBLEMS FOR CYCLOTOMIC FIELDS.
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- International Journal of Number Theory, 2011, v. 7, n. 7, p. 1935, doi. 10.1142/S1793042111004836
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Large strings of consecutive smooth integers.
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- Archiv der Mathematik, 2011, v. 97, n. 4, p. 319, doi. 10.1007/s00013-011-0301-y
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ON A PROBLEM ON NORMAL NUMBERS RAISED BY IGOR SHPARLINSKI.
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- Bulletin of the Australian Mathematical Society, 2011, v. 84, n. 2, p. 337, doi. 10.1017/S0004972711002322
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A property of the set of primes as a multiplicative basis of the natural numbers.
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- Doklady Mathematics, 2011, v. 84, n. 1, p. 467, doi. 10.1134/S1064562411040107
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COMMON DIVISORS OF VALUES OF POLYNOMIALS AND COMMON FACTORS OF INDICES IN A NUMBER FIELD.
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- International Journal of Number Theory, 2011, v. 7, n. 5, p. 1173, doi. 10.1142/S1793042111004526
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AN ADDITIVE PROBLEM INVOLVING PIATETSKI-SHAPIRO PRIMES.
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- International Journal of Number Theory, 2011, v. 7, n. 5, p. 1359, doi. 10.1142/S1793042111004630
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A short interval result for the e-squarefree e-divisor function.
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- Scientia Magna, 2011, v. 7, n. 2, p. 73
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Chen's theorem with small primes.
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- Chinese Annals of Mathematics, 2011, v. 32, n. 3, p. 387, doi. 10.1007/s11401-011-0645-4
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Summation of a random multiplicative function on numbers having few prime factors.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2011, v. 150, n. 2, p. 193, doi. 10.1017/S0305004110000514
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Generalizations of Arnold's version of Euler's theorem for matrices.
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- Japanese Journal of Mathematics, 2010, v. 5, n. 2, p. 183, doi. 10.1007/s11537-010-1023-9
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FACTORING DIRECTED GRAPHS WITH RESPECT TO THE CARDINAL PRODUCT IN POLYNOMIAL TIME II.
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- Discussiones Mathematicae: Graph Theory, 2010, v. 30, n. 3, p. 461, doi. 10.7151/dmgt.1507
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Integers without large prime factors in short intervals: Conditional results.
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- Proceedings of the Indian Academy of Sciences: Mathematical Sciences, 2010, v. 120, n. 5, p. 515, doi. 10.1007/s12044-010-0049-5
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Sur l'inégalité de Turán-Kubilius friable.
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- Journal für die Reine und Angewandte Mathematik, 2010, v. 2010, n. 647, p. 175, doi. 10.1515/CRELLE.2010.077
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Almost primes represented by binary forms.
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- Journal of the London Mathematical Society, 2010, v. 82, n. 2, p. 295, doi. 10.1112/jlms/jdq026
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Remark on factorials that are products of factorials.
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- Mathematical Notes, 2010, v. 88, n. 3/4, p. 317, doi. 10.1134/S0001434610090038
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A NOTE ON SMOOTH NUMBERS IN SHORT INTERVALS.
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- International Journal of Number Theory, 2010, v. 6, n. 5, p. 1113, doi. 10.1142/S1793042110003381
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Structure of the cuspidal rational torsion subgroup of J1(pn).
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- Journal of the London Mathematical Society, 2010, v. 82, n. 1, p. 203, doi. 10.1112/jlms/jdq013
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KORSELT NUMBERS AND SETS.
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- International Journal of Number Theory, 2010, v. 6, n. 2, p. 257, doi. 10.1142/S1793042110002922
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Notes on factor prime factorizations for n-D polynomial matrices.
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- Multidimensional Systems & Signal Processing, 2010, v. 21, n. 1, p. 87, doi. 10.1007/s11045-009-0089-0
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Thematic mathematics: the combinatorics of prime factorizations.
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- Teaching Mathematics & its Applications, 2010, v. 29, n. 1, p. 25, doi. 10.1093/teamat/hrp019
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ELEMENTARY PROOFS OF PARITY RESULTS FOR 5-REGULAR PARTITIONS.
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- Bulletin of the Australian Mathematical Society, 2010, v. 81, n. 1, p. 58, doi. 10.1017/S0004972709000525
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ON THE RATIO OF CONSECUTIVE PRIMES.
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- International Journal of Number Theory, 2010, v. 6, n. 1, p. 203, doi. 10.1142/S1793042110002934
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An Analysis of Some Prime Generating Sieves.
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- IUP Journal of Computer Sciences, 2010, v. 4, n. 1, p. 16
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ON THE CONJECTURE OF JEŚMANOWICZ CONCERNING PYTHAGOREAN TRIPLES.
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- Bulletin of the Australian Mathematical Society, 2009, v. 80, n. 3, p. 413, doi. 10.1017/S0004972709000471
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COMPORTEMENT AU VOISINAGE DE 1 DE LA FONCTION DE RÉPARTITION DE φ(n)/n.
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- International Journal of Number Theory, 2009, v. 5, n. 8, p. 1347, doi. 10.1142/S1793042109001414
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A note on f-minimum functions.
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- Scientia Magna, 2009, v. 5, n. 3, p. 72
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On the greatest prime factor of ab + 1.
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- Acta Mathematica Hungarica, 2009, v. 124, n. 1/2, p. 115, doi. 10.1007/s10474-009-8163-5
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Factorization into prime and invertible ideals II.
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- Journal of the London Mathematical Society, 2009, v. 80, n. 1, p. 155, doi. 10.1112/jlms/jdp017
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Another look at some fast modular arithmetic methods.
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- Journal of Mathematical Cryptology, 2009, v. 3, n. 2, p. 165, doi. 10.1515/JMC.2009.008
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ON THE LARGEST PRIME FACTOR OF THE MERSENNE NUMBERS.
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- Bulletin of the Australian Mathematical Society, 2009, v. 79, n. 3, p. 455, doi. 10.1017/S0004972709000033
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ELEMENTARY PROOFS OF VARIOUS FACTS ABOUT 3-CORES.
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- Bulletin of the Australian Mathematical Society, 2009, v. 79, n. 3, p. 507, doi. 10.1017/S0004972709000136
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CRYPTANALYSIS OF RSA WITH CONSTRAINED KEYS.
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- International Journal of Number Theory, 2009, v. 5, n. 2, p. 311, doi. 10.1142/S1793042109002122
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A remark on Chen’s theorem (II).
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- Chinese Annals of Mathematics, 2008, v. 29, n. 6, p. 687, doi. 10.1007/s11401-007-0234-8
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Asymptotic behavior of the irrational factor.
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- Acta Mathematica Hungarica, 2008, v. 121, n. 3, p. 293, doi. 10.1007/s10474-008-7212-9
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The effect of twisting on the 2-Selmer group.
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- Mathematical Proceedings of the Cambridge Philosophical Society, 2008, v. 145, n. 3, p. 513, doi. 10.1017/S0305004108001588
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Discrete analog of the projective equivalence and integrable billiard tables.
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- Ergodic Theory & Dynamical Systems, 2008, v. 28, n. 5, p. 1657, doi. 10.1017/S014338570700096X
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FACTORING FAMILIES OF POSITIVE KNOTS ON LORENZ-LIKE TEMPLATES.
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- Journal of Knot Theory & Its Ramifications, 2008, v. 17, n. 10, p. 1175, doi. 10.1142/S0218216508006634
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Hereditary, Additive and Divisible Classes in Epireflective Subcategories of Top.
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- Applied Categorical Structures, 2008, v. 16, n. 4, p. 451, doi. 10.1007/s10485-006-9034-7
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EXPONENTS OF CLASS GROUPS OF REAL QUADRATIC FIELDS.
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- International Journal of Number Theory, 2008, v. 4, n. 4, p. 597, doi. 10.1142/S1793042108001559
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A Kantor family admitting a normal F-factor constitutes a p-group.
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- Advances in Geometry, 2008, v. 8, n. 2, p. 155, doi. 10.1515/ADVGEOM.2008.011
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